Step 1: Understanding the Concept:
For three forces to be in equilibrium, they must form a closed triangle when represented as vectors.
Step 2: Detailed Explanation:
For three forces of equal magnitude to be in equilibrium, they must be at $120^{\circ}$ to each other. When these forces are represented as sides of a triangle, they form an equilateral triangle.
Step 3: Final Answer:
The angle is $120^{\circ}$ and the triangle is equilateral.